531107928960 has 1024 divisors, whose sum is σ = 2124378316800. Its totient is φ = 110108344320.

The previous prime is 531107928959. The next prime is 531107928973. The reversal of 531107928960 is 69829701135.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738675481 + ... + 738676199.

It is an arithmetic number, because the mean of its divisors is an integer number (2074588200).

Almost surely, 2^531107928960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531107928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062189158400).

531107928960 is an abundant number, since it is smaller than the sum of its proper divisors (1593270387840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531107928960 is a wasteful number, since it uses less digits than its factorization.

531107928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 531107928960 in words is "five hundred thirty-one billion, one hundred seven million, nine hundred twenty-eight thousand, nine hundred sixty".